Problem: The thickness of the ice on a lake for one week is modeled by the function:
T(d)=-0.1d^3+1.2d^2-4.4d+14.8
where T is the thickness in cm and d is the number of days after December 31st.
Required:
Question 1: When do you think the warmest day occurred during the week? Justify your answer.
Question 2: Determine the average rate of change on a short interval near the point you chose in b).